Numerical solution of the Korteweg-de Vries (KdV) equation

DOI10.1016/S0960-0779(96)00135-XzbMath0933.65115OpenAlexW1988054403MaRDI QIDQ1963190

Yanyan Li

Publication date: 24 January 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(96)00135-x

zbMATH Keywords

stabilityconvergenceBurgers equationKorteweg-de Vries equationsplitting methodsoliton solutionquintic spline approximation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Soliton equations (35Q51)

Related Items (7)

Cosine expansion-based differential quadrature method for numerical solution of the KdV equation ⋮ B-spline solution of a singularly perturbed boundary value problem arising in biology ⋮ The exponential cubic B-spline algorithm for Korteweg-de Vries equation ⋮ Mock-integrability and stable solitary vortices ⋮ A simple and robust boundary treatment for the forced Korteweg-de Vries equation ⋮ The analysis of operator splitting for the Gardner equation ⋮ Numerical solution of a coupled modified Korteweg–de Vries equation by the Galerkin method using quadratic B-splines

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The initial-value problem for the Korteweg-de Vries equation
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves
• Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives

This page was built for publication: Numerical solution of the Korteweg-de Vries (KdV) equation